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Finding the Fourth Proportional to 8,097.96, 12,146.98 and 2,551.74

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Solution

The fourth proportional to 8,097.96, 12,146.98 and 2,551.74 is: 3,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.96 : 12,146.98 = 2,551.74 : x
  2. Step 2: Convert to fraction form
    8,097.96/12,146.98 = 2,551.74/x
  3. Step 3: Cross multiply
    8,097.96x = 12,146.98 × 2,551.74
  4. Step 4: Simplify right side
    8,097.96x = 30,995,934.75
  5. Step 5: Solve for x
    x = 30,995,934.75/8,097.96
  6. Step 6: Final answer
    x = 3,827.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.